Emmet, you asked a great question, but a word of advice: it is not a good idea to refer to an African-American as "the black". I don't want to start a PC/anti-PC language war here, but many, if not most people would consider the + [racial adjective] to be offensive. Far better to use the literary character's name: Tom Robinson finally gave in...
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Shawn MooneyFeb 19 '13 at 12:44

@ShawnMooney thanks a lot. But you know what I am totally confused too, when I saw that it was written 'black'. Because I had written 'black guy', I am pretty sure because I checked to be careful. Then I thought maybe an editor edited, and changed to 'black' thinking 'black guy' is racist. So then I did not edit back. I was going to ask, why it was edited. So I will edit now.
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Emmet BFeb 19 '13 at 12:45

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Good idea. It doesn't appear that anyone other than you has edited your post. Many people would similarly object to the black guy, by the way. Using the character's name is the best way to go. While you are at it, correct the spelling mistakes in the novel's title and italicize it: To Kill A Mockingbird. There are other grammar problems with this text; do you want me to point them out?
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Shawn MooneyFeb 19 '13 at 12:56

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thanks Shawn, I can edit also you can edit directly my post, and can get extra badge I guess.
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Emmet BFeb 19 '13 at 12:58

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I edited it, but in fact the text you have written does not conform precisely to the actual plot summary. I did not make changes to reflect that, because to do so would have removed the target language you were inquiring about. But in fact, Tom Robinson did not really give in, or resign himself to his fate; after his wrongful conviction, he made a desperate attempt to escape prison, and was shot dead. It was a tragic suicide, really: death-by-prison-guard.
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Shawn MooneyFeb 19 '13 at 13:08

7 Answers
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To submit passively; to give up as hopeless or inevitable. [from 15th c.]Here is a man who was resigned to his fate, who was walking to the scaffold and about to die like a coward, that's true, but at least he was about to die without resisting and without recrimination. Do you know what gave him that much strength? Do you know what consoled him? Do you know what resigned him to his fate?

As a suggestion for the first text, I like the somewhat-informal phrase cut [someone's] losses, which means to stop doing something that is failing, so that you do not waste any more money, time, or effort. In order to incorporate it into OP's text, some revision is necessary, and I shall also correct other grammar mistakes and suggest better wording:

Individual retailers ran out of business when a big fish came to town. Not being able to compete, they cut their losses and closed their stores.

the condition of a human or animal that has learned to behave
helplessly, failing to respond even though there are opportunities for
it to help itself...

People who resign, acquiesce, yield, give up (etc.) often do so because of learned helplessness and not because they actually lack options. Life has simply taught them to be helpless.

I wouldn't apply "learned helplessness" to either the retailers who are run out of town, or to Tom Robinson, because in those scenarios they truly are helpless. But it does apply to your title, "accepting a situation out of desperation."